Linear Equations

Math ⇒ Algebra

Linear Equations starts at 6 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Linear Equations. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 10

A shopkeeper sells pencils at $2 each. If the total cost is $x, and the number of pencils bought is y, write the linear equation relating x and y.

A taxi charges a fixed fee of $3 plus $2 per kilometer. Write the linear equation for the total fare y in terms of kilometers x.

If 2x - 3y = 6, what is the value of y when x = 0?

If 3x + 4 = 19, what is the value of x?

If 4x = 20, what is the value of x?

If a line passes through the points (0, 2) and (2, 6), what is its equation in the form y = mx + c?

If the equation of a line is 2x - y = 4, what is the y-intercept?

If the equation of a line is y = -x + 4, what is the slope and y-intercept?

If the sum of a number and 8 is 15, what is the number?

Solve for x: 5x - 7 = 18.

Solve for y: 4y - 8 = 0.

What is the slope of the line represented by the equation y = 3x + 2?

What is the solution to the system of equations: x + y = 6 and x - y = 2?

A company produces two products, A and B. Each unit of A requires 2 hours of labor and 3 units of material. Each unit of B requires 1 hour of labor and 2 units of material. If the company has 10 hours of labor and 14 units of material available, write the system of linear equations representing this situation.

A line passes through the points (1, 4) and (5, 12). Find the equation of the line in the form y = mx + c.

If the equation of a line is 4x - 5y = 20, what is the slope of the line?

If the sum of twice a number and three times another number is 18, and their difference is 2, form the system of linear equations and solve for the numbers.

Solve the following system of equations using the substitution method: 2x + 3y = 12 and x - y = 1.